Consider this right triangle with given measures what is the unknown length

Mathematics

2 answers:

Umnica [9.8K]2 years ago

6 0

12^2 + b^2 = 15^2
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144 + b^2 = 225
-144 -144
—————————
b^2 = 81
b^2 = (square root 81 and the b)

ANS : b=9

DIA [1.3K]2 years ago

4 0

Answer:

b = 9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 12² = 15²

b² + 144 = 225 ( subtract 144 from both sides )

b² = 81 ( take the square root of both sides )

b = $\sqrt{81}$ = 9

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Pablo and max's follows a flight pattern approximatley modled by the equation h(t)=-8t^2+16t+2 where h(t)is their rocket's heigh

kodGreya [7K]

Answer: 2.11 s

Step-by-step explanation:

Given

Equation of rockets height is given by

$\Rightarrow h(t)=-8t^2+16+2$

Height will be zero once the rocket lands on the ground

So, we can write

$\Rightarrow h(t)=0\ \text{or}\ -8t^2+16t+2=0\\\Rightarrow 8t^2-16t-2=0\\\\\Rightarrow t=\dfrac{16\pm \sqrt{(-16)^2-4(8)(-2)}}{2\times 8}\\\\\Rightarrow t=\dfrac{16\pm \sqrt{320}}{16}\\\\\text{Neglecting negative value of t}\\\\\Rightarrow t=\dfrac{16+17.888}{16}=2.11\ s$